The given ratio is 6 : 7
The given options are :
A) 24 : 28
Since 24 can be divisible by 6 and 28 can be divisilbe by 7
24 ÷ 6 = 4
28 ÷ 7 = 4
the quotient of both the divisible are same
Thus,
24 : 28 can be written as 6 : 7
B) 18 : 28
18 can be divisible by 6
18 ÷ 6 = 3
28 can be divisible by 7
28÷ 7 = 4
But the quotient of both the divisibility is not same
So, 18 : 28 can not be written as 6 : 7
C) 12 : 14
12 can be divisible by 6
12 ÷ 6 = 2
14 can be divisible by 7
14 ÷ 7 = 2
The quotient of both the divisiblity is same
So, 12 : 14 can be express as 6 : 7
D) 18 : 14
18 can be divisible by 6
18 ÷ 6 = 3
14 can be divisible by 7
14 ÷ 7 = 2
The quotient of both the divisibility are not same
So, 18 : 14 cannot be express as 6 : 7
E) 24 : 14
24 can be divisible by 6
24 ÷ 6 = 4
14 can be divisible by 7
14 ÷ 7 = 2
The quotient of both the divisibility are not same
So, 24 : 14 cannot be express as 6 : 7
F) 18 : 21
18 can be divisible by 6
18 ÷ 6 = 3
21 can be divisible by 7
21 ÷ 7 = 3
The quotient of both the divisibility are same
So, 18 : 21 can be express as 6 : 7
G)12 : 28
12 can be divisible by 6
12 ÷ 6 = 2
28 can be divisible by 7
28 ÷ 7 = 4
The quotient of both the divisibility are not same
So, 12 : 28 cannot be express as 6 : 7
H) 12 : 21
12 can be divisible by 6
12 ÷ 6 = 2
21 can be divisible by 7
21 ÷ 7 = 3
The quotient of both the divisibility are not same
So, 12 : 21 cannot be express as 6 : 7
The three ratio that are equal to 6 : 7 are
24 : 28, 12 : 14 & 18 : 21
Answer :
A) 24 : 28
C) 12 : 14
F) 18 : 21